A finite causal set from Poisson sprinkling cannot faithfully embed into two macroscopically distinct spacetimes; the two geometries are forced to agree up to an explicitly bounded approximate isometry that vanishes in the high-density limit.
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On the Uniqueness of Embeddings of Causal Sets
A finite causal set from Poisson sprinkling cannot faithfully embed into two macroscopically distinct spacetimes; the two geometries are forced to agree up to an explicitly bounded approximate isometry that vanishes in the high-density limit.